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149482801632 = 2534336211919
BaseRepresentation
bin1000101100110111011…
…1101000100111100000
3112021211201021010002110
42023031313220213200
54422120044123012
6152401011115320
713541215564203
oct2131567504740
9467751233073
10149482801632
115843916538a
1224b795a2b40
1311133385218
147340bdd93a
153d4d4ba73c
hex22cdde89e0

149482801632 has 48 divisors (see below), whose sum is σ = 401517768960. Its totient is φ = 48668817792.

The previous prime is 149482801619. The next prime is 149482801673. The reversal of 149482801632 is 236108284941.

149482801632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18101832 + ... + 18110087.

It is an arithmetic number, because the mean of its divisors is an integer number (8364953520).

Almost surely, 2149482801632 is an apocalyptic number.

149482801632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

149482801632 is an abundant number, since it is smaller than the sum of its proper divisors (252034967328).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

149482801632 is a wasteful number, since it uses less digits than its factorization.

149482801632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36211975 (or 36211967 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The spelling of 149482801632 in words is "one hundred forty-nine billion, four hundred eighty-two million, eight hundred one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 516 688 1032 1376 2064 4128 36211919 72423838 108635757 144847676 217271514 289695352 434543028 579390704 869086056 1158781408 1557112517 1738172112 3114225034 3476344224 4671337551 6228450068 9342675102 12456900136 18685350204 24913800272 37370700408 49827600544 74741400816 149482801632